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Finding the Fourth Proportional to 547,473, 755,513.10 and 309,009

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Solution

The fourth proportional to 547,473, 755,513.10 and 309,009 is: 426,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,473 : 755,513.10 = 309,009 : x
  2. Step 2: Convert to fraction form
    547,473/755,513.10 = 309,009/x
  3. Step 3: Cross multiply
    547,473x = 755,513.10 × 309,009
  4. Step 4: Simplify right side
    547,473x = 233,460,347,517.90
  5. Step 5: Solve for x
    x = 233,460,347,517.90/547,473
  6. Step 6: Final answer
    x = 426,432.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.